A Particle Moves on a Straight Line with Velocity Function $v(t)=\sin \omega t \cos ^{3} \omega t$

question 44

Multiple Choice

A particle moves on a straight line with velocity function $v(t) =\sin \omega t \cos ^{3} \omega t$ . Find its position function $s=f(t) \text { if } f(0) =0$ .

• A) \(\frac{\cos ^{5} \omega t+1}{5 \omega}\)
• B) \(\frac{\sin ^{7} \omega t+1}{7 \omega}\)
• C) \(\frac{\sin ^{3} \omega t-1}{3 \omega}\)
• D) \(\frac{1-\cos ^{4} \omega t}{4 \omega}\)
• E) \(\frac{1-\cos ^{6} \omega t+1}{6 \omega}\)

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